dc.contributor.advisor Purnaprajna, Bangere dc.contributor.author Rajaguru, Biswajit dc.date.accessioned 2018-02-19T03:37:36Z dc.date.available 2018-02-19T03:37:36Z dc.date.issued 2017-08-31 dc.date.submitted 2017 dc.identifier.other http://dissertations.umi.com/ku:15416 dc.identifier.uri http://hdl.handle.net/1808/26022 dc.description.abstract In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We show this: Suppose X is a minimal surface, which is a ramified double covering f:X- S, of a rational surface S, with dim |-K_S|= 1. And suppose L is a divisor on S, such that L.L= 7 and L. C= 3 for any curve C on S. Then K_X+f*L is base-point free and the natural map Sym^r(H^0(K_X+f*L))- H^0(r(K_X+f*L)), is surjective for all r=1. In particular this implies, when S is also smooth and L is an ample line bundle on S, that K_X+nf*L embeds X as a projectively normal variety for all n = 3. dc.format.extent 55 pages dc.language.iso en dc.publisher University of Kansas dc.rights Copyright held by the author. dc.subject Mathematics dc.subject anticanonical rational surfaces dc.subject mukai's conjecture dc.subject projective normality dc.title Projective normality for some families of surfaces of general type dc.type Dissertation dc.contributor.cmtemember Purnaprajna, Bangere dc.contributor.cmtemember Mandal, Satyagopal dc.contributor.cmtemember Lang, Jeffrey dc.contributor.cmtemember Greenberg, Marc dc.contributor.cmtemember Jiang, Yunfeng dc.thesis.degreeDiscipline Mathematics dc.thesis.degreeLevel Ph.D. dc.identifier.orcid dc.rights.accessrights openAccess
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